- What is the syntactic structure of secondary predicates? Are they small clauses (Stowell 1980) or extended projections of lexical heads (cf. Williams 1983)? Should depictives and resultatives be treated differently?

- How do secondary predicates combine with main predicates? While depictives are usually assumed to involve control (Chomsky 1981), resultatives are often hypothesized to combine with their subjects directly, with the resulting small clause merged as the complement of the lexical verb (Hoekstra 1988, see also Ramchand 2008). Do the lexical verb and secondary predicate form a syntactic ‘complex predicate’ (Williams 1983, Larson 1988, Cormack and Smith 1999, Neeleman and van de Koot 2002, etc.)? What semantic mechanisms ensure the interpretation of the resulting structures?

- Are there several types of depictives, as argued by Halliday 1967? And should resultatives not be viewed as a single phenomenon (Goldberg and Jackendoff 2004, cf. also Ettlinger 2008)?